Abstract

This is a continuation of part I in the series of the papers on Lagrangian Floer theory on toric manifolds. Using the deformations of Floer cohomology by the ambient cycles, which we call bulk deformations, we find a continuum of non-displaceable Lagrangian fibers on some compact toric manifolds. We also provide a method of finding all fibers with non-vanishing Floer cohomology with bulk deformations in arbitrary compact toric manifolds, which we call bulk-balanced Lagrangian fibers.

Keywords

KF is supported partially by JSPS Grant-in-Aid for Scientific Research No.18104001 and by Global COE Program G08, YO by US NSF grant # 0904197, HO by JSPS Grant-in-Aid for Scientific Research No.19340017, and KO by JSPS Grant-in-Aid for Scientific Research, Nos. 18340014 and 21244002.